Paul Houston

According to our database1, Paul Houston authored at least 39 papers between 1999 and 2020.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2020
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids.
Math. Comput., 2020

Eliminating Gibbs phenomena: A non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation.
Comput. Math. Appl., 2020

2019
Gibbs Phenomena for L<sup>q</sup>-Best Approximation in Finite Element Spaces - Some Examples.
CoRR, 2019

The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method.
Comput. Methods Appl. Math., 2019

Presenting and sharing clinical data using the eTRIKS Standards Master Tree for tranSMART.
Bioinform., 2019

Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem.
Adv. Comput. Math., 2019

2018
Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods.
SIAM J. Sci. Comput., 2018

An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems.
Math. Comput., 2018

Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods.
J. Sci. Comput., 2018

2017
hp-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems.
SIAM J. Sci. Comput., 2017

2016
Adaptive energy minimisation for hp-finite element methods.
Comput. Math. Appl., 2016

2015
Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows.
SIAM J. Sci. Comput., 2015

2014
Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains.
J. Sci. Comput., 2014

Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows.
J. Comput. Appl. Math., 2014

hp-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows.
Comput. Math. Appl., 2014

2013
Preconditioning High-Order Discontinuous Galerkin Discretizations of Elliptic Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains.
SIAM J. Sci. Comput., 2013

Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs.
J. Sci. Comput., 2013

2012
Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry.
J. Sci. Comput., 2012

2011
Adaptivity and a Posteriori Error Control for Bifurcation Problems II: Incompressible Fluid Flow in Open Systems with <i>Z</i><sub>2</sub> Symmetry.
J. Sci. Comput., 2011

A Class of Domain Decomposition Preconditioners for <i>hp</i>-Discontinuous Galerkin Finite Element Methods.
J. Sci. Comput., 2011

2010
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows.
SIAM J. Sci. Comput., 2010

2009
A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics.
J. Sci. Comput., 2009

2008
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations.
J. Comput. Phys., 2008

2007
Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes.
SIAM J. Sci. Comput., 2007

Discontinuous Galerkin methods on hp-anisotropic meshes I: a priori error analysis.
Int. J. Comput. Sci. Math., 2007

2005
Interior penalty method for the indefinite time-harmonic Maxwell equations.
Numerische Mathematik, 2005

Energy Norm <i>shape A Posteriori</i> Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem.
J. Sci. Comput., 2005

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation.
J. Sci. Comput., 2005

2004
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator.
SIAM J. Numer. Anal., 2004

2003
Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., 2003

2002
Discontinuous <i>hp</i>-Finite Element Methods for Advection-Diffusion-Reaction Problems.
SIAM J. Numer. Anal., 2002

The Dynamics and Pinning of a Spike for a Reaction-Diffusion System.
SIAM J. Appl. Math., 2002

hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization.
J. Sci. Comput., 2002

2001
<i>hp</i>-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems.
SIAM J. Sci. Comput., 2001

Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems.
Math. Comput., 2001

Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form.
Computing, 2001

2000
Stabilized <i>hp</i>-Finite Element Methods for First-Order Hyperbolic Problems.
SIAM J. Numer. Anal., 2000

1999
A posteriori error analysis for numerical approximations of Friedrichs systems.
Numerische Mathematik, 1999


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